LCM for 3, 5 and 6
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What's the Least Common Multiple (LCM) of 3, 5 and 6?
Answer
LCM of 3, 5 and 6 is
30
First common multiples: 30, 60, 90, …
30 is divisible by all three: 30 ÷ 3 = 10, 30 ÷ 5 = 6, 30 ÷ 6 = 5 — and 10, 6 and 5 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 10 and of y/5 by 6 and of z/6 by 5.
3 — prime
5 — prime
6 = 2 × 3
| Prime | 3 | 5 | 6 | Highest power |
|---|---|---|---|---|
| 2 | — | — | 2 | 2 |
| 3 | 3 | — | 3 | 3 |
| 5 | — | 5 | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 = 30
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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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